Open Access Research

Some properties of Chebyshev polynomials

Seon-Hong Kim

Author Affiliations

Department of Mathematics, Sookmyung Women’s University, Seoul, 140-742, Korea

Journal of Inequalities and Applications 2012, 2012:167 doi:10.1186/1029-242X-2012-167

Published: 31 July 2012

Abstract

In this paper we obtain some new bounds for Chebyshev polynomials and their analogues. They lead to the results about zero distributions of certain sums of Chebyshev polynomials and their analogues. Also we get an interesting property about the integrals of certain sums of Chebyshev polynomials.

Keywords:
Chebyshev polynomials; bounds; sums; zeros